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Finding the Fourth Proportional to 247.42, 341.22 and 160

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Solution

The fourth proportional to 247.42, 341.22 and 160 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.42 : 341.22 = 160 : x
  2. Step 2: Convert to fraction form
    247.42/341.22 = 160/x
  3. Step 3: Cross multiply
    247.42x = 341.22 × 160
  4. Step 4: Simplify right side
    247.42x = 54,595.20
  5. Step 5: Solve for x
    x = 54,595.20/247.42
  6. Step 6: Final answer
    x = 220.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.